Oleh: M. Zaki Riyanto dan Sri Wahyuni (Jurusan Matematika FMIPA UGM)
Abstract: Let be a polynomial ring with variables over a field . Suppose is an ideal of . A subset is said to be a basis for if it’s finitely generated by . Fix a monomial order relation. We denote by the leading term of and the set of all leading term of all elements in . A subset is said to be Grobner basis for if . In this paper we discussed the motivation of construction of the Grobner basis and a method to find the Grobner basis using Buchberger Algorithm.
Kata Kunci: Buchberger Algorithm, Grobner Basis, Ideal, Monomial Ordering, Polynomial Ring.
(Makalah ini telah dipresentasikan pada Seminar Nasional Matematika HPA (Himpunan Peminat Aljabar) di UIN Syarif Hidayatullah, Jakarta pada tanggal 27 Maret 2010)